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IgorC [24]
3 years ago
13

How do I solve 5y - 1 = 3y + 2?​

Mathematics
1 answer:
trasher [3.6K]3 years ago
4 0

Answer:

5y - 1 = 3y + 2

2y = 3

y = 1.5

Step-by-step explanation:

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Amber started solving the equation −2x=10−3(2x+6) -2x=10-32x+6 . Which is a correct next step?
Anvisha [2.4K]

Answer:

Step-by-step explanation:

-2x=10-3(2x+6) next step is to distribute -3 in the parenthesis,

-2x=10-6x-18

5 0
3 years ago
For ΔABC, ∠A = x + 30, ∠B = 2x - 4, and ∠C = 4x. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C' with ∠A
Marina86 [1]
ABC
Solve for x
x + 30 + 2x - 4 + 4x = 180 All triangles have 180°. collect like terms.
7x + 26 = 180 subtract 26 to both sides.
7x = 154 Divide by 7
x = 154/7
x = 22
A = x + 30 = 22 + 30 = 52
B = 2x - 4 = 2(22) + 30 = 44 - 4 = 40
C = 4x = 4*22 = 88

Check
<A + <B + <C = 180
<52 + <40 + <88 = 180°
180 = 180

It checks and we are done with this triangle.

A'B'C' 
2x + 8 + x + 18 + 5x - 22 = 180 Collect the like terms.
8x + 4 = 180 Subtract 4 from both sides.
8x = 180 - 4
8x = 176 Divide by 8
x = 176 / 8
x = 22
 
A' = 2x + 8
A' = 2(22) + 8 = 44 + 8 = 52
B' = x + 18 = 22 + 18 = 40
C' = 5x - 22 = 5*22 - 22 = 110 - 22 = 88

Conclusion
A = A'
B = B'
C = C'

All three angles of one triangle are equal to all three angles of the other. So by AA the two triangles are similar.

Comment
Note: the dilation of 12 has nothing to do with this answer. If you were asked about similarity of sides then the 12 would be something to do with the problem. 


3 0
4 years ago
~please only answer if you know for sure~<br> -Thank you-
Serjik [45]
3 feet by 5 feet is the original figure.

We can obviously say that the triangle falls into the Not Similar - Different Shape category since it is a triangle, and we were given a rectangle

We can obviously say that the parallelogram (right next to the triangle) falls into the Not Similar - Different Shape category since it is a parallelogram, and we were given a rectangle

The 3 feet by 4 feet falls into the category of Not similar - Different ratio of Side Lengths because  the original was 3 feet by 4 feet. And so then one side remained the same while the other went decreased, so they are not in a ratio.

The 12 feet by 15 feet falls into the category of Not similar - Different ratio of Side Lengths because 12 feet by 15 feet can be simplified in a ratio of 4 to 5 while the original is 3 to 5

The 6 feet by 10 feet falls into the category of Similar because  6 feet by 10 feet can be simplified in a ratio of 3 to 5 and the original is 3 to 5.

The 3 feet by 5 feet falls into the category of Similar because  it is the same exact figure just rotated!
5 0
4 years ago
Penn draws a triangle with one 90 degree angle. What could be the measures of the other two angles in penn’s triangle?
stellarik [79]

Answer:

both 45 degrees

Step-by-step explanation:

90 + 45 + 45 = 180 degrees

Hope this helps!

4 0
3 years ago
Read 2 more answers
50 POINTS AND BRAINLIEST!!!!!!
Ray Of Light [21]

I would invest $500 to be compounded as Compound Interest is $1,540,250 while Simple Interest is $50.

<u>Step-by-step explanation:</u>

Step 1:

Calculate simple interest in the first case. Given details are Principal (P) = $500, Rate (R) = 5% and Time (T) = 2 years

⇒ Simple Interest (SI) = PRT/100 = 500 × 5 × 2/100 = $50

Step 2:

Calculate compounded interest for the second case. Given details are Principal (P) = $500, Interest rate (r) = 3%, Number of times it is compounded (n) = 12, time (t) = 2 years

⇒ Compound Interest (CI) = [P (1 + r/n)^n × t] - P

⇒ CI = [500 (1 + 3/12)^12 × 3] - 500

⇒ CI = [500 (1 + 1/4)^36] - 500

⇒ CI = [500 (5/4)^36] - 500

⇒ CI = [500 × 3081.5] - 500 = 1540750 - 500

⇒ CI = $1,540,250

8 0
3 years ago
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